Question

9. ** f(x) = {x – 2 and g(x) = 2x + 4. Are f(x) and g(x) parallel, perpendicular or neither parallel nor perpendicular to each other. Justify.

Answer 1

in order for 2 lines to be parallel both lines must have the same slopem in this case

$\frac{1}{2}\ne2$

the lines are not parallel.

when 2 lines are perpendicular the product between the slopes of the lines must be equal to -1

$\begin{gathered} (\frac{1}{2})\cdot(2)=1 \\ 1\ne-1 \end{gathered}$

in this case the lines are neither parallel nor perpendicular.

PERPENDICULAR

NOT PERPENDICULAR